1 static char help[] = "Tests DMSLICED operations\n\n"; 2 3 #include <petscdmsliced.h> 4 5 int main(int argc, char *argv[]) 6 { 7 char mat_type[256] = MATAIJ; /* default matrix type */ 8 MPI_Comm comm; 9 PetscMPIInt rank, size; 10 DM slice; 11 PetscInt i, bs = 1, N = 5, n, m, rstart, ghosts[2], *d_nnz, *o_nnz, dfill[4] = {1, 0, 0, 1}, ofill[4] = {1, 1, 1, 1}; 12 PetscReal alpha = 1, K = 1, rho0 = 1, u0 = 0, sigma = 0.2; 13 PetscBool useblock = PETSC_TRUE; 14 PetscScalar *xx; 15 Mat A; 16 Vec x, b, lf; 17 18 PetscFunctionBeginUser; 19 PetscCall(PetscInitialize(&argc, &argv, 0, help)); 20 comm = PETSC_COMM_WORLD; 21 PetscCallMPI(MPI_Comm_size(comm, &size)); 22 PetscCallMPI(MPI_Comm_rank(comm, &rank)); 23 24 PetscOptionsBegin(comm, 0, "Options for DMSliced test", 0); 25 { 26 PetscCall(PetscOptionsInt("-n", "Global number of nodes", "", N, &N, NULL)); 27 PetscCall(PetscOptionsInt("-bs", "Block size (1 or 2)", "", bs, &bs, NULL)); 28 if (bs != 1) { 29 PetscCheck(bs == 2, PETSC_COMM_WORLD, PETSC_ERR_SUP, "Block size must be 1 or 2"); 30 PetscCall(PetscOptionsReal("-alpha", "Inverse time step for wave operator", "", alpha, &alpha, NULL)); 31 PetscCall(PetscOptionsReal("-K", "Bulk modulus of compressibility", "", K, &K, NULL)); 32 PetscCall(PetscOptionsReal("-rho0", "Reference density", "", rho0, &rho0, NULL)); 33 PetscCall(PetscOptionsReal("-u0", "Reference velocity", "", u0, &u0, NULL)); 34 PetscCall(PetscOptionsReal("-sigma", "Width of Gaussian density perturbation", "", sigma, &sigma, NULL)); 35 PetscCall(PetscOptionsBool("-block", "Use block matrix assembly", "", useblock, &useblock, NULL)); 36 } 37 PetscCall(PetscOptionsString("-sliced_mat_type", "Matrix type to use (aij or baij)", "", mat_type, mat_type, sizeof(mat_type), NULL)); 38 } 39 PetscOptionsEnd(); 40 41 /* Split ownership, set up periodic grid in 1D */ 42 n = PETSC_DECIDE; 43 PetscCall(PetscSplitOwnership(comm, &n, &N)); 44 rstart = 0; 45 PetscCallMPI(MPI_Scan(&n, &rstart, 1, MPIU_INT, MPI_SUM, comm)); 46 rstart -= n; 47 ghosts[0] = (N + rstart - 1) % N; 48 ghosts[1] = (rstart + n) % N; 49 50 PetscCall(PetscMalloc2(n, &d_nnz, n, &o_nnz)); 51 for (i = 0; i < n; i++) { 52 if (size > 1 && (i == 0 || i == n - 1)) { 53 d_nnz[i] = 2; 54 o_nnz[i] = 1; 55 } else { 56 d_nnz[i] = 3; 57 o_nnz[i] = 0; 58 } 59 } 60 PetscCall(DMSlicedCreate(comm, bs, n, 2, ghosts, d_nnz, o_nnz, &slice)); /* Currently does not copy X_nnz so we can't free them until after DMSlicedGetMatrix */ 61 62 if (!useblock) PetscCall(DMSlicedSetBlockFills(slice, dfill, ofill)); /* Irrelevant for baij formats */ 63 PetscCall(DMSetMatType(slice, mat_type)); 64 PetscCall(DMCreateMatrix(slice, &A)); 65 PetscCall(PetscFree2(d_nnz, o_nnz)); 66 PetscCall(MatSetOption(A, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_TRUE)); 67 68 PetscCall(DMCreateGlobalVector(slice, &x)); 69 PetscCall(VecDuplicate(x, &b)); 70 71 PetscCall(VecGhostGetLocalForm(x, &lf)); 72 PetscCall(VecGetSize(lf, &m)); 73 PetscCheck(m == (n + 2) * bs, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "size of local form %" PetscInt_FMT ", expected %" PetscInt_FMT, m, (n + 2) * bs); 74 PetscCall(VecGetArray(lf, &xx)); 75 for (i = 0; i < n; i++) { 76 PetscInt row[2], col[9], im, ip; 77 PetscScalar v[12]; 78 const PetscReal xref = 2.0 * (rstart + i) / N - 1; /* [-1,1] */ 79 const PetscReal h = 1.0 / N; /* grid spacing */ 80 im = (i == 0) ? n : i - 1; 81 ip = (i == n - 1) ? n + 1 : i + 1; 82 switch (bs) { 83 case 1: /* Laplacian with periodic boundaries */ 84 col[0] = im; 85 col[1] = i; 86 col[2] = ip; 87 v[0] = -h; 88 v[1] = 2 * h; 89 v[2] = -h; 90 PetscCall(MatSetValuesLocal(A, 1, &i, 3, col, v, INSERT_VALUES)); 91 xx[i] = PetscSinReal(xref * PETSC_PI); 92 break; 93 case 2: /* Linear acoustic wave operator in variables [rho, u], central differences, periodic, timestep 1/alpha */ 94 v[0] = -0.5 * u0; 95 v[1] = -0.5 * K; 96 v[2] = alpha; 97 v[3] = 0; 98 v[4] = 0.5 * u0; 99 v[5] = 0.5 * K; 100 v[6] = -0.5 / rho0; 101 v[7] = -0.5 * u0; 102 v[8] = 0; 103 v[9] = alpha; 104 v[10] = 0.5 / rho0; 105 v[11] = 0.5 * u0; 106 if (useblock) { 107 row[0] = i; 108 col[0] = im; 109 col[1] = i; 110 col[2] = ip; 111 PetscCall(MatSetValuesBlockedLocal(A, 1, row, 3, col, v, INSERT_VALUES)); 112 } else { 113 row[0] = 2 * i; 114 row[1] = 2 * i + 1; 115 col[0] = 2 * im; 116 col[1] = 2 * im + 1; 117 col[2] = 2 * i; 118 col[3] = 2 * ip; 119 col[4] = 2 * ip + 1; 120 v[3] = v[4]; 121 v[4] = v[5]; /* pack values in first row */ 122 PetscCall(MatSetValuesLocal(A, 1, row, 5, col, v, INSERT_VALUES)); 123 col[2] = 2 * i + 1; 124 v[8] = v[9]; 125 v[9] = v[10]; 126 v[10] = v[11]; /* pack values in second row */ 127 PetscCall(MatSetValuesLocal(A, 1, row + 1, 5, col, v + 6, INSERT_VALUES)); 128 } 129 /* Set current state (gaussian density perturbation) */ 130 xx[2 * i] = 0.2 * PetscExpReal(-PetscSqr(xref) / (2 * PetscSqr(sigma))); 131 xx[2 * i + 1] = 0; 132 break; 133 default: 134 SETERRQ(PETSC_COMM_SELF, PETSC_ERR_SUP, "not implemented for block size %" PetscInt_FMT, bs); 135 } 136 } 137 PetscCall(VecRestoreArray(lf, &xx)); 138 PetscCall(VecGhostRestoreLocalForm(x, &lf)); 139 PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY)); 140 PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY)); 141 142 PetscCall(MatMult(A, x, b)); 143 PetscCall(MatView(A, PETSC_VIEWER_STDOUT_WORLD)); 144 PetscCall(VecView(x, PETSC_VIEWER_STDOUT_WORLD)); 145 PetscCall(VecView(b, PETSC_VIEWER_STDOUT_WORLD)); 146 147 /* Update the ghosted values, view the result on rank 0. */ 148 PetscCall(VecGhostUpdateBegin(b, INSERT_VALUES, SCATTER_FORWARD)); 149 PetscCall(VecGhostUpdateEnd(b, INSERT_VALUES, SCATTER_FORWARD)); 150 if (rank == 0) { 151 PetscCall(VecGhostGetLocalForm(b, &lf)); 152 PetscCall(PetscViewerASCIIPrintf(PETSC_VIEWER_STDOUT_SELF, "Local form of b on rank 0, last two nodes are ghost nodes\n")); 153 PetscCall(VecView(lf, PETSC_VIEWER_STDOUT_SELF)); 154 PetscCall(VecGhostRestoreLocalForm(b, &lf)); 155 } 156 157 PetscCall(DMDestroy(&slice)); 158 PetscCall(VecDestroy(&x)); 159 PetscCall(VecDestroy(&b)); 160 PetscCall(MatDestroy(&A)); 161 PetscCall(PetscFinalize()); 162 return 0; 163 } 164 165 /*TEST 166 167 test: 168 nsize: 2 169 args: -bs 2 -block 0 -sliced_mat_type baij -alpha 10 -u0 0.1 170 171 test: 172 suffix: 2 173 nsize: 2 174 args: -bs 2 -block 1 -sliced_mat_type aij -alpha 10 -u0 0.1 175 176 test: 177 suffix: 3 178 nsize: 2 179 args: -bs 2 -block 0 -sliced_mat_type aij -alpha 10 -u0 0.1 180 181 TEST*/ 182